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snow_lady [41]
3 years ago
15

What is the inverse of f(x)=(x+6)2 for x≥–6 where function g is the inverse of function f? g(x)=x√−6, x≥0 g(x)=x−6−−−−√, x≥6 g(x

)=x√+6, x≥0 g(x)=x+6−−−−√, x≥−6
Mathematics
1 answer:
rosijanka [135]3 years ago
7 0

Answer:

g(x)=\sqrt{x}-6, x>=0

Step-by-step explanation:

f(x)=(x+6)^2

To find the inverse function , replace f(x) by y

y=(x+6)^2

Replace x with y and y with x

x=(y+6)^2

Solve the equation for y

take square root on both sides

+\sqrt{x} =y+6

Now subtract 6 from both sides

+\sqrt{x}-6=y

replace y with g(x)

g(x)=\sqrt{x}-6

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hope this helps
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3 years ago
Help please. I attempted, but I couldn't succeed.
german

Answer:

y=(3/2)x+-14

First blank: 3

Second blank:2

Last blank:-14

Step-by-step explanation:

The line form being requested is slope-intercept form, y=mx+b where m is slope and b is y-intercept.

Also perpendicular lines have opposite reciprocal slopes so the slope of the line we are looking for is the opposite reciprocal of -2/3 which is 3/2.

So the equation so far is

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We know this line goes through (x,y)=(4,-8).

So we can use this point along with our equation to find b.

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The line is y=(3/2)x-14.

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Step-by-step explanation:

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Answer:

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